When employees undergo evaluation, their scores are independent and uniformly distributed between 60 and 100. A) If six employees take the evaluation, what is the probability that half of them score more than 85 and half less? B) if six employees take the evaluation, what is the probability that two score less than 80, two between 80 and 90, and two above 90? C) If the employees are tested sequentially, what is the expected number of employees who need to be tested before 3 scores are higher than 90?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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When employees undergo evaluation, their scores are independent and uniformly distributed
between 60 and 100.
A) If six employees take the evaluation, what is the probability that half of them score more than 85
and half less?
B) if six employees take the evaluation, what is the probability that two score less than 80, two
between 80 and 90, and two above 90?
C) If the employees are tested sequentially, what is the expected number of employees who need to
be tested before 3 scores are higher than 90?
Transcribed Image Text:When employees undergo evaluation, their scores are independent and uniformly distributed between 60 and 100. A) If six employees take the evaluation, what is the probability that half of them score more than 85 and half less? B) if six employees take the evaluation, what is the probability that two score less than 80, two between 80 and 90, and two above 90? C) If the employees are tested sequentially, what is the expected number of employees who need to be tested before 3 scores are higher than 90?
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